Least Common Multiple of 3319 and 3325
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3319 and 3325 the smallest integer that is 11035675 that is divisible by both numbers.
Least Common Multiple (LCM) of 3319 and 3325 is 11035675.
LCM(3319,3325) = 11035675
LCM of 3319 and 3325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3319 and 3325 by Prime method
- Least Common Multiple of 3319 and 3325 with GCF Formula
LCM of 3319 and 3325 is 11035675
Least common multiple can be found by multiplying the highest exponent prime factors of 3319 and 3325. First we will calculate the prime factors of 3319 and 3325.
Prime Factorization of 3319
| 3319 | 3319 |
| 1 |
Prime factors of 3319 are 3319. Prime factorization of 3319 in exponential form is:
3319 = 33191
Prime Factorization of 3325
| 5 | 3325 |
| 5 | 665 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 3325 are 5, 7,19. Prime factorization of 3325 in exponential form is:
3325 = 52×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3319 and 3325.
LCM(3319,3325) = 52×71×191×33191
LCM(3319,3325) = 11035675
Factors of 3319
List of positive integer factors of 3319 that divides 3319 without a remainder.
1, 3319
Factors of 3325
List of positive integer factors of 3325 that divides 3325 without a remainder.
1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325
Least Common Multiple of 3319 and 3325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3319 and 3325, than apply into the LCM equation.
GCF(3319,3325) = 1
LCM(3319,3325) = ( 3319 × 3325) / 1
LCM(3319,3325) = 11035675 / 1
LCM(3319,3325) = 11035675
Properties of LCM 3319 and 3325
(i) The LCM of 3325 and 3319 is associative
LCM of 3319 and 3325 = LCM of 3325 and 3319
Related Least Common Multiples of 3319
Related Least Common Multiples of 3325
Frequently Asked Questions on LCM of 3319 and 3325
1. What is the LCM of 3319 and 3325?
Answer: LCM of 3319 and 3325 is 11035675.
2. What are the Factors of 3319?
Answer: Factors of 3319 are 1, 3319. There are 2 integers that are factors of 3319. The greatest factor of 3319 is 3319.
3. What are the Factors of 3325?
Answer: Factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325. There are 12 integers that are factors of 3325. The greatest factor of 3325 is 3325.
4. How to Find the LCM of 3319 and 3325?
Answer:
Least Common Multiple of 3319 and 3325 = 11035675
Step 1: Find the prime factorization of 3319
3319 = 3319
Step 2: Find the prime factorization of 3325
3325 = 5 x 5 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11035675 = 5 x 5 x 7 x 19 x 3319
Step 4: Therefore, the least common multiple of 3319 and 3325 is 11035675.